Which of the following statement is a tautolo | vedclass

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Question

(A) $(\sim q \wedge p) \wedge q=(\sim q \wedge q) \wedge p=f$

(B) $(\sim q \wedge p ) \wedge( p \wedge \sim p )=\sim q \wedge( p \wedge \sim p )= f

Vedclass · Accepted Answer

$((\sim q ) \wedge p ) \vee( p \vee(\sim p ))$

Vedclass · Answer

(A) $(\sim q \wedge p) \wedge q=(\sim q \wedge q) \wedge p=f$

(B) $(\sim q \wedge p ) \wedge( p \wedge \sim p )=\sim q \wedge( p \wedge \sim p )= f$

(C) $(\sim q \wedge p ) \vee( p \vee \sim p )=(\sim q \wedge p ) \vee( t )= t$

(D) $( p \wedge q ) \wedge(\sim( p \wedge q ))= f$

Which of the following statement is a tautology?

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